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Finding the Fourth Proportional to 2,531.72, 3,797.42 and 865.69

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Solution

The fourth proportional to 2,531.72, 3,797.42 and 865.69 is: 1,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.72 : 3,797.42 = 865.69 : x
  2. Step 2: Convert to fraction form
    2,531.72/3,797.42 = 865.69/x
  3. Step 3: Cross multiply
    2,531.72x = 3,797.42 × 865.69
  4. Step 4: Simplify right side
    2,531.72x = 3,287,374.70
  5. Step 5: Solve for x
    x = 3,287,374.70/2,531.72
  6. Step 6: Final answer
    x = 1,298.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.